High School Math - Geometry

High School Math - Geometry

Mar 26, 2024 11:22 PM


G-CO Congruence

Learning objectives:

  • Understand congruence in terms of rigid motions
  • Students will experiment with transformations in the plane and will understand congruence in terms of rigid motions.

  • Prove geometric theorems
  • Students will prove theorems about lines and angles.

G-SRT Similarity, Right Triangles, and Trigonometry

Learning objectives:

  • Understand similarity in terms of similarity transformations
  • Students will understand the definition of similarity in terms of transformations and will prove theorems involving similarity.

  • Define trigonometric ratios and solve problems involving right triangles
  • Students will use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

G-C Circles

Learning objectives:

  • Understand and apply theorems about circles
  • Students will understand and apply theorems about circles, including relationships between angles, radii, and chords.

  • Find arc lengths and areas of sectors of circles
  • Students will translate between the geometric description and the equation for a conic section.

G-GPE Expressing Geometric Properties with Equations

Learning objectives:

  • Translate between the geometric description and the equation for a conic section
  • Students will derive the equations of ellipses and hyperbolas given the foci.

  • Use coordinates to prove simple geometric theorems algebraically
  • Students will prove simple geometric theorems algebraically using coordinates.

G-GMD Geometric Measurement and Dimension

Learning objectives:

  • Explain volume formulas and use them to solve problems
  • Students will understand the concept of volume and will know how to compute the volume of a cylinder, pyramid, and cone.

  • Visualize relationships between two-dimensional and three-dimensional objects
  • Students will visualize the relationship between two-dimensional and three-dimensional objects.

G-MG Modeling with Geometry

Learning objectives:

  • Apply geometric concepts in modeling situations
  • Students will apply geometric concepts to solve design problems.

Learning Resources